Grade:6 Unit:4 Week:5Content: Problem Solving and Graph Relationships Dates: 2/19-2/22
Theme Essential Question: How can you use numerical and algebraic expressions, equations, and inequalities to solve real life mathematical problems?
Essential Questions:
Can students use the strategy find a pattern to solve problems involving relationships between quantities?
Can students graph the relationship between two quantities?
Standard
6.EE.9 Represent and analyze quantitative relationships between dependent and independent variables. Use variables to represent two quantities in a real-world problem that change in relationship to one another;write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d=65t to represent the relationship between distance and time.
Objectives
Students will solve problems involving relationships between quantities by using the strategy find a pattern.
Students will graph the relationship between two quantities.
Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team (Taken from Arizona Department of Education) Students can use many forms to represent relationships between quantities. Multiple representations include describing the relationship using language, a table, an equation, or a graph. Translating between multiple representations helps students understand that each form represents the same relationship and provides a different perspective on the function.
Background Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Have students model the graphing of the ordered pairs.
Have students identify relationships by observing their characteristics.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary
Math
Suggested Activities-Find as many real-world examples as possible. On Core Mathematics
Problem Solving-Analyze Relationships Lesson 70 pg139-140
Graph Relationships Lesson 71 p141-142
Mastering the Common Core ABC
p78 extend tables and graphs
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8
Same as week 3 extended
Gizmos
Same as week 3 extended
JBHM
Same as week 3 extended
Glenco
Same as week 3 extended
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions. Tasks that illustrate content standard 6.EE.9:
Theme Essential Question:
How can you use numerical and algebraic expressions, equations, and inequalities to solve real life mathematical problems?
Essential Questions:
Standard
Objectives
Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team
(Taken from Arizona Department of Education)
Students can use many forms to represent relationships between quantities. Multiple representations include describing the relationship using language, a table, an equation, or a graph. Translating between multiple representations helps students understand that each form represents the same relationship and provides a different perspective on the function.
Background Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Assessment
Product
Key Questions
Observable Student Behaviors
1. Make sense of problems and persevere in
solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary
On Core Mathematics
- Problem Solving-Analyze Relationships Lesson 70 pg139-140
- Graph Relationships Lesson 71 p141-142
Mastering the Common Core ABC- p78 extend tables and graphs
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8- Same as week 3 extended
Gizmos- Same as week 3 extended
JBHM- Same as week 3 extended
Glenco- Same as week 3 extended
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.Tasks that illustrate content standard 6.EE.9:
- None currently
Diverse LearnersHomework
- http://www.kutasoftware.com/free.htmlto print assignments on variety of topics
See appropriate Glencoe, OnCore, JBHM, and ABC materials under suggested activitiesTerminology for Teachers
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
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Generating-Testing Hypothesis | Cues, Questions, Organizers
Resources
Professional Texts
Literary Texts
Informational Texts
Art, Music, and Media
Manipulatives
Games
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Websites
Sight Words
SMART Board Lessons, Promethean Lessons
- CC.6.EE.9 Patterns in Math
The learning objectives are to identify, describe, extend, and create linear patterns and functions.- CC.6.EE.9 Letters in Math
Reinforces the meaning of a variable.- CC.6.EE.9 Finding the Equation of a Line
The objective is to find the equation of a line from a table of values.Other Activities, etc.
Language
Arts
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6 Matrix
6 PAP Matrix
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